List questions from combinatorial-group-theory

Published on 25 Mar 2026 - 6:12

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Is this a Fuchsian group?

Published on 10 Apr 2026 - 18:55

1.1k

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Presentations of Amalgamated Free Products of Two Groups.

Published on 06 May 2026 - 14:22

394

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Least number of rounds to find all hidden pairs

Published on 25 Mar 2026 - 6:12

105

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Interactive web game for the word problem in groups?

Published on 25 Mar 2026 - 10:23

91

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Prove that finite and infinite presentations of Thompson group $F$ are isomorphic.

Published on 25 Mar 2026 - 11:35

73

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Minimum length of a commutator in a free group?

Published on 25 Mar 2026 - 6:12

58

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Rewriting a presentation in terms of new generators

Published on 25 Mar 2026 - 6:58

77

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Minimum length of a nontrivial word in $[[F_n,F_n],F_n]$

Published on 25 Mar 2026 - 11:30

358

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How to tell if a homomorphism from a surface group to itself is surjective/injective/inner

Published on 25 Mar 2026 - 12:34

87

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Describing $\langle x,y : x^{2} , y^{3} , [x,y] , x^{6}y^{6}\rangle$.

Published on 25 Mar 2026 - 4:40

463

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Identifying $\langle a,b\mid a^2b^2\rangle$.

Published on 25 Mar 2026 - 2:59

143

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Presentation of the holomorph of $\mathbb Z/5 \mathbb Z$

Published on 05 May 2026 - 16:25

331

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Equivalent definition of free groups

Published on 27 Mar 2026 - 5:55

340

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Prove that the groups $\langle a,b \mid ababa=babab \rangle$ and $\langle x,y \mid x^2=y^5 \rangle$ are isomorphic

Published on 25 Mar 2026 - 6:12

List Question

Determine order of $\langle(15)(37),(23)(45)(67)\rangle\subset S_7$

Is this a Fuchsian group?

Presentations of Amalgamated Free Products of Two Groups.

Least number of rounds to find all hidden pairs

Interactive web game for the word problem in groups?

Prove that finite and infinite presentations of Thompson group $F$ are isomorphic.

Minimum length of a commutator in a free group?

Rewriting a presentation in terms of new generators

Minimum length of a nontrivial word in $[[F_n,F_n],F_n]$

How to tell if a homomorphism from a surface group to itself is surjective/injective/inner

Describing $\langle x,y : x^{2} , y^{3} , [x,y] , x^{6}y^{6}\rangle$.

Identifying $\langle a,b\mid a^2b^2\rangle$.

Presentation of the holomorph of $\mathbb Z/5 \mathbb Z$

Equivalent definition of free groups

Prove that the groups $\langle a,b \mid ababa=babab \rangle$ and $\langle x,y \mid x^2=y^5 \rangle$ are isomorphic

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